{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import time, datetime\n",
    "import numpy as np, pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "from scipy.integrate import odeint\n",
    "from scipy.optimize import minimize"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "df1 = pd.read_excel('./data/timeLine.xlsx')\n",
    "df1 = df1.fillna(0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "日期       2020-12-10\n",
       "累计确诊       70564412\n",
       "治愈人数    4.79291e+07\n",
       "死亡人数        1585977\n",
       "Name: 323, dtype: object"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 疫情高峰时期\n",
    "a = (df1['累计确诊'] - df1.shift(1)['累计确诊']).iloc[1:].tolist()\n",
    "df1.iloc[a.index(max((df1['累计确诊'] - df1.shift(1)['累计确诊']).iloc[1:])) + 1]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x504 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(14, 7))\n",
    "ax.plot(df1.index, df1['累计确诊'], label='Cumulative diagnosis')\n",
    "ax.plot(df1.index, df1['死亡人数'], label='Number of patients cured')\n",
    "ax.plot(df1.index, df1['治愈人数'], label='Death toll')\n",
    "ax.set_xlabel('Days from discovery')\n",
    "ax.set_ylabel('Numbers')\n",
    "ax.legend(fontsize=13)\n",
    "ax.set_title(\"COVID-19's spread from 2020-01-22 to 2021-04-30\")\n",
    "ax.grid(True)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x504 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "gammaguess = (df1[\"治愈人数\"] + df1[\"死亡人数\"]) / df1[\"累计确诊\"]\n",
    "gamma = gammaguess.mean()\n",
    "fig, ax = plt.subplots(figsize=(14, 7))\n",
    "ax.plot(df1.index, gammaguess)\n",
    "ax.set_title(\"SIR model of γ changes\")\n",
    "ax.set_xlabel('Days from discovery')\n",
    "ax.set_ylabel('γ')\n",
    "ax.grid(True)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x504 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "'''\n",
    "死亡人数比移除人数比例\n",
    "'''\n",
    "fig, ax = plt.subplots(figsize=(14, 7))\n",
    "ax.plot(df1.index, df1['死亡人数'] / (df1['治愈人数'] + df1['死亡人数']))\n",
    "ax.set_xlabel('Days from discovery')\n",
    "ax.set_ylabel('Ratio')\n",
    "ax.set_title(\"Died people / Removed people\")\n",
    "ax.grid(True)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "start_time = df1['日期'][0]\n",
    "end_time = df1['日期'][max(df1.index)]\n",
    "nContact, gamma = int(5), 1/14\n",
    "died_cure_radio = 0.02\n",
    "t = np.arange(0, 800)\n",
    "N = 7000000000\n",
    "S0 = 1 - 0.000000082     #根据治愈患者第一次出现的时间计算的比例\n",
    "R0 = 2.428571428571429e-9\n",
    "I0 = 7.957142857142857e-8"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "beta=0.11317970171570754,gama=0.07142857142857142,σ=1.5845158240199058\n"
     ]
    }
   ],
   "source": [
    "'''\n",
    "SIR模型的参数确定\n",
    "'''\n",
    "class estimationInfectionProb():\n",
    "    def __init__(self, estUsedTimeIndexBox, nContact, gamma):\n",
    "        self.timeRange = np.array([i for i in range(estUsedTimeIndexBox[0], estUsedTimeIndexBox[1] + 1)])\n",
    "        self.nContact, self.gamma = nContact, gamma\n",
    "        self.dataStartTimeStep = 0\n",
    "\n",
    "    def setInitSolution(self, x0):\n",
    "        self.x0 = 0.04\n",
    "\n",
    "    def costFunction(self, infectionProb):\n",
    "        res = np.array(np.exp((infectionProb * self.nContact - self.gamma) * self.timeRange) - \\\n",
    "                       df1.loc[self.timeRange - self.dataStartTimeStep, '累计确诊'])\n",
    "        return (res ** 2).sum() / self.timeRange.size\n",
    "\n",
    "    def optimize(self):\n",
    "        self.solution = minimize(self.costFunction, self.x0, method='nelder-mead', options={'xtol': 1e-8, 'disp': False})\n",
    "        return self.getSolution()\n",
    "\n",
    "    def getSolution(self):\n",
    "        return self.solution.x\n",
    "\n",
    "    def getBasicReproductionNumber(self):\n",
    "        self.basicReproductionNumber = self.nContact * self.solution.x[0] / (self.gamma)\n",
    "        print(\"basic reproduction number:\", self.basicReproductionNumber)\n",
    "        return self.basicReproductionNumber\n",
    "\n",
    "# 计算beta\n",
    "startTime = datetime.datetime.strptime(start_time, \"%Y-%m-%d\")\n",
    "estUsedTimeBox = [datetime.datetime.strptime(start_time, \"%Y-%m-%d\"),\n",
    "                  datetime.datetime.strptime(end_time, \"%Y-%m-%d\")]\n",
    "estUsedTimeIndexBox = [(t - startTime).days for t in estUsedTimeBox]\n",
    "estInfectionProb = estimationInfectionProb(estUsedTimeIndexBox, nContact, gamma)\n",
    "estInfectionProb.setInitSolution(0.04)\n",
    "infectionProb = estInfectionProb.optimize()\n",
    "# SIR参数\n",
    "beta = float(infectionProb) * nContact\n",
    "σ = beta / gamma\n",
    "print(\"beta={},gama={},σ={}\".format(beta, gamma, σ))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "疫情结束的时间:2022-04-01 00:00:00,全球最终感染的人数:548848215,全球因为新冠疫情最终死亡的人数:88693954\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x504 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "'''\n",
    "SIR模型的微分方程\n",
    "'''\n",
    "\n",
    "def SIR(sir, t, beta, gamma):\n",
    "    S, I, R = sir\n",
    "    dsdt = - beta * S * I\n",
    "    didt = beta * S * I - gamma * I\n",
    "    drdt = gamma * I\n",
    "    return [dsdt, didt, drdt]\n",
    "\n",
    "# 求解时序变化\n",
    "result = odeint(SIR, [S0, I0, R0], t, args=(beta, gamma))\n",
    "St, It, Rt = result[:, 0], result[:, 1], result[:, 2]\n",
    "\n",
    "fig, ax = plt.subplots(figsize=(14, 7))\n",
    "ax.plot(t, St, c=\"g\", label=\"Ratio of susceptible population\")\n",
    "ax.plot(t, It, c=\"r\", label=\"Ratio of infected population\")\n",
    "ax.plot(t, Rt, c=\"b\", label=\"Ratio of people removed\")\n",
    "ax.legend(fontsize=13)\n",
    "ax.grid(True)\n",
    "ax.set_title(\n",
    "    \"SIR Model with S0 =[{}] I0 =[{}] R0 = [{}] gamma = [{:2f}] beta = [{:2f}]\".format(S0, I0, R0, gamma, beta))\n",
    "\n",
    "ax.set_xlabel('Days from {}'.format(start_time))\n",
    "ax.set_xlabel('Ratio'.format(start_time))\n",
    "'''\n",
    "SIR模型预测\n",
    "'''\n",
    "need_day = datetime.timedelta(days=int(np.sum(It >= 0))).days\n",
    "over_Time = datetime.datetime.strptime(start_time, \"%Y-%m-%d\") + datetime.timedelta(days=int(np.sum(It >= 0)))\n",
    "max_infected_day = It.tolist().index(max(It))\n",
    "number_of_infected = int(np.ceil(np.max(It) * N))\n",
    "number_of_died = int(np.ceil(np.max(Rt) * N * died_cure_radio))\n",
    "ax.annotate('Epidemic climax', (max_infected_day, It[max_infected_day]), xytext=(90, 0.3),textcoords='offset points',arrowprops={\n",
    "    'headwidth': 10,\n",
    "    'headlength': 5,\n",
    "    'width': 4,\n",
    "    'facecolor': 'r',\n",
    "    'shrink': 0.1,\n",
    "})\n",
    "print('疫情结束的时间:{},全球最终感染的人数:{},全球因为新冠疫情最终死亡的人数:{}'.format(over_Time, number_of_infected, number_of_died))\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x504 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(14, 7))\n",
    "ax.plot(t, N * It, c=\"g\", label=\"Calculate\")\n",
    "ax.plot(df1.index, df1['累计确诊'], c=\"r\", label=\"Real\")\n",
    "ax.set_title(\"Comparison of the predicted cumulative number of confirmed cases with the actual number\")\n",
    "ax.set_xlabel('Days from '.format(start_time))\n",
    "ax.set_ylabel('Cumulative number of confirmed cases')\n",
    "ax.legend(fontsize=13)\n",
    "ax.grid(True)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x504 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "class SIRModelPredict():\n",
    "    def __init__(self, N, beta, gamma, k):\n",
    "        self.beta, self.gamma, self.N, self.k = beta, gamma, N, k\n",
    "        self.t = np.linspace(0, 800, 801)\n",
    "        self.setInitCondition()\n",
    "\n",
    "    def odeModel(self, population, t):\n",
    "        diff = np.zeros(3)\n",
    "        s, i, r = population\n",
    "        diff[0] = - self.beta * s * i / self.N\n",
    "        diff[1] = self.beta * s * i / self.N - self.gamma * i\n",
    "        diff[2] = self.gamma * i\n",
    "        return diff\n",
    "\n",
    "    def setInitCondition(self):\n",
    "        self.populationInit = [self.N - 1, 1, 0]\n",
    "\n",
    "    def solve(self):\n",
    "        self.solution = odeint(self.odeModel, self.populationInit, self.t)\n",
    "        return self.solution\n",
    "\n",
    "\n",
    "fig, ax = plt.subplots(2, 2, figsize=(14, 7))\n",
    "i,j = 0,0\n",
    "# 接触人数减少的效果\n",
    "for k in range(4, 8):\n",
    "    obj = SIRModelPredict(N, beta, gamma, k)\n",
    "    solution = obj.solve()\n",
    "    ax[i][j].plot(solution[:, 1], color='orange', label='Infection')\n",
    "    ax[i][j].plot(solution[:, 2], color='green', label='Recovery')\n",
    "    ax[i][j].set_title(\"SIR infectionProb=[{:2f}] k=[{}]\".format(float(infectionProb), k))\n",
    "    ax[i][j].legend()\n",
    "    ax[i][j].set_xlabel('Day')\n",
    "    ax[i][j].set_ylabel('Number of people')\n",
    "    ax[i][j].grid(True)\n",
    "    if i == 0 and j == 0:\n",
    "        j = j + 1\n",
    "    elif i == 0 and j == 1:\n",
    "        i, j = 1, 0\n",
    "    elif i == 1 and j == 0:\n",
    "        i, j = 1, 1\n",
    "    else:\n",
    "        i, j = 0, 0\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.0"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
